Person recording this finally gets to the point (6)
I believe the answer is:
tapers
'gets to the point' is the definition.
(to taper is to narrow to a point)
'person recording this finally' is the wordplay.
'person recording' becomes 'taper' (you record onto tape).
'finally' indicates one should take the final letters.
The last letter of 'this' is 's'.
'taper'+'s'='TAPERS'
(Other definitions for tapers that I've seen before include "Repast with slender candles" , "Narrows toward a point" , "Prates about candle lighters" , "Narrows towards the end, like a candle" , "Long thin candles" .)